Is (cot^2(θ))/(csc^2(θ))=cos^2(θ) ?

The answer to whether (cot^2(θ))/(csc^2(θ))=cos^2(θ) is True

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prove (cot^2(θ))/(csc^2(θ))=cos^2(θ)

prove

\frac{cot ^{2} ( θ )}{csc ^{2} ( θ )} = cos^{2} (θ)

True

Solution steps

\frac{cot ^{2} ( θ )}{csc ^{2} ( θ )} = cos^{2} (θ)

Manipulating left side

\frac{cot ^{2} ( θ )}{csc ^{2} ( θ )}

Express with sin, cos

= cos^{2} (θ)

We showed that the two sides could take the same form

\Rightarrow True

(csc (a) + 1) (csc (a) - 1) = cot^{2} (a)

2 cos^{2} (A) - 1 = 1 - 2 sin^{2} (A)

cos (4 θ) = cos^{2} (2 θ) - sin^{2} (2 θ)

- 30 cos (3 x) sin (3 x) = - 15 sin (6 x)

sec (b) cot (b) = csc (b)

Is (cot^2(θ))/(csc^2(θ))=cos^2(θ) ?
The answer to whether (cot^2(θ))/(csc^2(θ))=cos^2(θ) is True